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Finding the Fourth Proportional to 353.41, 529.81 and 199.31

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Solution

The fourth proportional to 353.41, 529.81 and 199.31 is: 298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.41 : 529.81 = 199.31 : x
  2. Step 2: Convert to fraction form
    353.41/529.81 = 199.31/x
  3. Step 3: Cross multiply
    353.41x = 529.81 × 199.31
  4. Step 4: Simplify right side
    353.41x = 105,593.28
  5. Step 5: Solve for x
    x = 105,593.28/353.41
  6. Step 6: Final answer
    x = 298.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.